Least Common Multiple of 144390 and 144397

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 144390 and 144397 by Prime method
• Least Common Multiple of 144390 and 144397 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144390 and 144397. First we will calculate the prime factors of 144390 and 144397.

Prime Factorization of 144390

Prime factors of 144390 are 2, 3, 5,4813. Prime factorization of 144390 in exponential form is:

144390 = 2¹×3¹×5¹×4813¹

Prime Factorization of 144397

Prime factors of 144397 are 11,13127. Prime factorization of 144397 in exponential form is:

144397 = 11¹×13127¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144390 and 144397.

LCM(144390,144397) = 2¹×3¹×5¹×11¹×4813¹×13127¹
LCM(144390,144397) = 20849482830

Factors of 144390

List of positive integer factors of 144390 that divides 144390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390

Factors of 144397

List of positive integer factors of 144397 that divides 144397 without a remainder.

1, 11, 13127, 144397

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144390 and 144397, than apply into the LCM equation.

GCF(144390,144397) = 1
LCM(144390,144397) = ( 144390 × 144397) / 1
LCM(144390,144397) = 20849482830 / 1
LCM(144390,144397) = 20849482830

(i) The LCM of 144397 and 144390 is associative

LCM of 144390 and 144397 = LCM of 144397 and 144390

1. What is the LCM of 144390 and 144397?

Answer: LCM of 144390 and 144397 is 20849482830.

2. What are the Factors of 144390?

Answer: Factors of 144390 are 1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390. There are 16 integers that are factors of 144390. The greatest factor of 144390 is 144390.

3. What are the Factors of 144397?

Answer: Factors of 144397 are 1, 11, 13127, 144397. There are 4 integers that are factors of 144397. The greatest factor of 144397 is 144397.

4. How to Find the LCM of 144390 and 144397?

Answer:

Least Common Multiple of 144390 and 144397 = 20849482830

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

Step 2: Find the prime factorization of 144397

144397 = 11 x 13127

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 20849482830 = 2 x 3 x 5 x 11 x 4813 x 13127

Step 4: Therefore, the least common multiple of 144390 and 144397 is 20849482830.